Polynomial Warm Up

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

factor

x² - 121

• (x + 11)(x + 11)

• (x + 11)(x - 11)

• (x + 121)(x - 121)

• (x - 121)(x - 121)

Tags

CCSS.HSA.APR.C.4

factor

4x² + 18x

• 2x(2x + 9)

• (2x +9)(2x - 9)

• x(4x + 18x)

• (2x + 9)(2x + 9)

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even

• Leading Coefficient Positive
  Degree - Odd

• Leading Coefficient Negative
  Degree - Even

• Leading Coefficient Negative
  Degree - Odd

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x⁵ - 4x +2

• Left up  Right up

• Left up  Right down

• Left down  Right up

• Left down  Right down

What is the degree of the polynomial?

5x³ - 6x + 1

• Linear

• Quadratic

• Cubic

• Quartic

Solve the following equation:
x⁴ + x² - 90 = 0

• 3, -3, ±√10

• 3, -3

• ±√10

• 3

Tags

CCSS.HSA-REI.B.4B

What is the degree of the polynomial:
f(x) = -4x + 5x³ - 2x²

• Degree 2

• Degree 3

• Degree 4

• Degree 5

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77

Tags

CCSS.HSA-REI.B.4B